(-3+2i)(-6-8i)=34+12i

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Solution for (-3+2i)(-6-8i)=34+12i equation:


Simplifying
(-3 + 2i)(-6 + -8i) = 34 + 12i

Multiply (-3 + 2i) * (-6 + -8i)
(-3(-6 + -8i) + 2i * (-6 + -8i)) = 34 + 12i
((-6 * -3 + -8i * -3) + 2i * (-6 + -8i)) = 34 + 12i
((18 + 24i) + 2i * (-6 + -8i)) = 34 + 12i
(18 + 24i + (-6 * 2i + -8i * 2i)) = 34 + 12i
(18 + 24i + (-12i + -16i2)) = 34 + 12i

Combine like terms: 24i + -12i = 12i
(18 + 12i + -16i2) = 34 + 12i

Add '-12i' to each side of the equation.
18 + 12i + -12i + -16i2 = 34 + 12i + -12i

Combine like terms: 12i + -12i = 0
18 + 0 + -16i2 = 34 + 12i + -12i
18 + -16i2 = 34 + 12i + -12i

Combine like terms: 12i + -12i = 0
18 + -16i2 = 34 + 0
18 + -16i2 = 34

Solving
18 + -16i2 = 34

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-18' to each side of the equation.
18 + -18 + -16i2 = 34 + -18

Combine like terms: 18 + -18 = 0
0 + -16i2 = 34 + -18
-16i2 = 34 + -18

Combine like terms: 34 + -18 = 16
-16i2 = 16

Divide each side by '-16'.
i2 = -1

Simplifying
i2 = -1

Reorder the terms:
1 + i2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + i2 = 0

The solution to this equation could not be determined.

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